<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A system of two oscillators with delayed pulse coupling is studied analytically and numerically. The so-called jittering regimes with non-equal inter-spike intervals are observed. The analytical conditions for the emergence of in-phase and anti-phase jittering are derived. The obtained results suggest universality of the multi-jitter instability for systems with delayed pulse coupling.</p></abstract>

A system of two oscillators with delayed pulse coupling is studied analytically and numerically. The so-called jittering regimes with non-equal inter-spike intervals are observed. The analytical conditions for the emergence of in-phase and anti-phase jittering are derived. The obtained results suggest universality of the multi-jitter instability for systems with delayed pulse coupling.

Jittering regimes of two spiking oscillators with delayed coupling

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Jittering regimes of two spiking oscillators with delayed coupling"}

A system of two oscillators with delayed pulse coupling is studied analytically and numerically. The so-called jittering regimes with non-equal inter-spike...

Jittering regimes of two spiking oscillators with delayed coupling

Published Online: Mar 14, 2016

Page range: 197 - 206

Received: Nov 12, 2015

Accepted: Mar 11, 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00015

Keywords
Pulse-coupled oscillators, synchronization, phase resetting curve, delayed coupling, jittering

© 2016 Vladimir Klinshov, Oleg Maslennikov, Vladimir Nekorkin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Jittering regimes of two spiking oscillators with delayed coupling

Published Online: Mar 14, 2016

Page range: 197 - 206

Received: Nov 12, 2015

Accepted: Mar 11, 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00015

KeywordsPulse-coupled oscillators, synchronization, phase resetting curve, delayed coupling, jittering

© 2016 Vladimir Klinshov, Oleg Maslennikov, Vladimir Nekorkin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Pulse-coupled oscillators, synchronization, phase resetting curve, delayed coupling, jittering